Place the quartered red potatoes in a large pot and cover them with cold water. Add a pinch of salt to the water.
Bring the water to a boil over high heat. Reduce the heat to medium and let the potatoes simmer for about 15-20 minutes, or until they are fork-tender.
While the potatoes are cooking, heat the minced garlic and butter in a small saucepan over low heat. Let the garlic infuse into the butter for a few minutes, being careful not to brown the garlic.
Drain the cooked potatoes and return them to the pot.
Pour the garlic-infused butter over the potatoes and add the warmed milk.
Use a potato masher or a fork to coarsely mash the potatoes. Leave some chunks for texture.
Season the potatoes with salt and black pepper, adjusting to your taste preferences.
Give the potatoes a final stir to incorporate all the ingredients evenly.
Serve the mashed potatoes warm and enjoy!